The `Vast majority of incomes ratio (VMIR)' $R_0$ is the ratio of the average income $\mu_0$ of a poorest majority $p_0$ of the population to the overall average income $\mu$. Another measure of equality is $E_0\equiv(1-G)$ where $G$ is the Gini coefficient of inequality of the distribution....

The present note is an elementary essay on how one may manipulate the Lorenz curve with a view to obtaining a couple of simple variants of the Gini coefficient of inequality, one of which is anti transfer-sensitive and the other pro transfer-sensitive, and which together, in convex combination,...

A natural way of viewing an inequality or a poverty measure is in terms of the vector distance between an actual (empirical) distribution of incomes and some appropriately normative distribution (reflecting a perfectly equal distribution of incomes, or a distribution with the smallest mean that...